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Full text of "Analytical Mechanics"

TABLE OF CONTENTS.
Table of notations...............................................      xi
Introduction....................................................       1
CHAPTER I.   ADDITION AND RESOLUTION OF VECTORS.
Scalar and vector magnitudes.....................................       3
Addition of two vectors..........................................       4
Difference of two vectors.........................................       7
Resolution of vectors into components.............................       8
Resultant of any number of vectors...............................       9
CHAPTER II.   EQUILIBRIUM OF A PARTICLE.
Particle........................................................      14
Force..........................................................      14
The law of action and reaction....................................      15
Condition of equilibrium of a particle..............................      16
Sliding friction..................................................      21
Resultant of a system of forces...................................      25
CHAPTER III.   KQUILIHIUUM OF A RIGID BODY.
Rigid body.....................................................      31
Theorems on the motion of rigid bodies............................      31
Linear and angular action........................................      35
The law of action and reaction....................................      39
Conditions of equilibrium of a rigid body...........................      40
Resultant of a system of forces...................................      47
Friction on journals and pivots...................................      51
Rolling friction.................................................      56
CHAPTER IV.   EQUILIBRIUM OF FLEXIBLE CORDS.
Simplification of problems........................................      61